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13122420210234 = 2333760110928083
BaseRepresentation
bin1011111011110100110100…
…1100011111101000111010
31201110111021000201120002000
42332331031030133220322
53204444204033211414
643524205010321430
72523030543253326
oct276751514375072
951414230646060
1013122420210234
1141aa207120665
12157b267b89276
137425923b643a
143351b296c986
1517b526d56b09
hexbef4d31fa3a

13122420210234 has 64 divisors (see below), whose sum is σ = 29998901950080. Its totient is φ = 4248838281600.

The previous prime is 13122420210199. The next prime is 13122420210287. The reversal of 13122420210234 is 43201202422131.

13122420210234 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 2 + 420 + 2 + 1 + 0 + 234 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13122420210198 and 13122420210207.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4263244 + ... + 6664839.

It is an arithmetic number, because the mean of its divisors is an integer number (468732842970).

Almost surely, 213122420210234 is an apocalyptic number.

13122420210234 is an abundant number, since it is smaller than the sum of its proper divisors (16876481739846).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13122420210234 is a wasteful number, since it uses less digits than its factorization.

13122420210234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10928732 (or 10928726 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 13122420210234 its reverse (43201202422131), we get a palindrome (56323622632365).

The spelling of 13122420210234 in words is "thirteen trillion, one hundred twenty-two billion, four hundred twenty million, two hundred ten thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 37 54 74 111 222 333 601 666 999 1202 1803 1998 3606 5409 10818 16227 22237 32454 44474 66711 133422 200133 400266 600399 1200798 10928083 21856166 32784249 65568498 98352747 196705494 295058241 404339071 590116482 808678142 1213017213 2426034426 3639051639 6567777883 7278103278 10917154917 13135555766 19703333649 21834309834 39406667298 59110000947 118220001894 177330002841 243007781671 354660005682 486015563342 729023345013 1458046690026 2187070035039 4374140070078 6561210105117 13122420210234